Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Convenient formulations for immiscible displacement in porous media

Conference ·
OSTI ID:468125
Convenient formulations of the immiscible displacement in porous media are presented and applied for waterflooding. The macroscopic equation of continuity for immiscible displacement is derived by porous media averaging. Richardson`s approach and the fractional flow formulation are extended and generalized for anisotropic and heterogeneous porous media. The integral transformations according to Douglas et al and the coordinate transformations presented in this paper lead to differential equations which do not involve the variable fluid and porous media properties explicitly in the differential operators. Fractional flow and unit end-point mobility ratio formulations are also derived for specific applications to reduce the computational requirements and accomplish rapid simulation of waterflooding of petroleum reservoirs. It is demonstrated by typical examples that the resulting equations can be discretized and solved more conveniently and accurately than the conventional formulation which require cumbersome discretization formulae for mixed derivatives involving the fluid and porous media properties. Therefore, the convenient formulations offer potential advantages over the usual formulation used in the simulation of waterflooding such as improved accuracy and reduced computational effort.
OSTI ID:
468125
Report Number(s):
CONF-961003--
Country of Publication:
United States
Language:
English

Similar Records

Interfacial effects in immiscible liquid-liquid displacement in porous media
Journal Article · Thu Sep 01 00:00:00 EDT 1966 · Soc. Pet. Eng. J.; (United States) · OSTI ID:6524578

Oil ganglion dynamics during immiscible displacement: model formulation
Journal Article · Thu May 01 00:00:00 EDT 1980 · AIChE J.; (United States) · OSTI ID:6125250

Formulation of similarity porous media systems
Journal Article · Sun Aug 01 00:00:00 EDT 1982 · Transp. Theory Stat. Phys.; (United States) · OSTI ID:6300593